Higher-Spin Poisson Sigma Models and Holographic Duality for SYK Models
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866918147215327232 |
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| author | Bekaert, Xavier Sharapov, Alexey Skvortsov, Evgeny |
| author_facet | Bekaert, Xavier Sharapov, Alexey Skvortsov, Evgeny |
| contents | SYK models provide an interesting playground for exploring the $AdS_2/CFT_1$ correspondence. We focus on a class of SYK models that exhibit higher-spin symmetry, whose gravity sector is described by a BF theory generalizing Jackiw--Teitelboim gravity to higher spins. We further develop this framework by constructing consistent interactions between higher-spin gauge fields and scalar matter fields. Two concrete realizations are proposed: Model A, arising from a deformation of the universal enveloping algebra of $\mathfrak{sl}(2,\mathbb{R})$, and Model B, a perturbatively local Poisson sigma-model with an infinite-dimensional target space. While both capture higher-spin dynamics on $(A)dS_2$, they differ in their algebraic structures and locality properties, thus offering complementary perspectives on higher-spin holography. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_19964 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher-Spin Poisson Sigma Models and Holographic Duality for SYK Models Bekaert, Xavier Sharapov, Alexey Skvortsov, Evgeny High Energy Physics - Theory SYK models provide an interesting playground for exploring the $AdS_2/CFT_1$ correspondence. We focus on a class of SYK models that exhibit higher-spin symmetry, whose gravity sector is described by a BF theory generalizing Jackiw--Teitelboim gravity to higher spins. We further develop this framework by constructing consistent interactions between higher-spin gauge fields and scalar matter fields. Two concrete realizations are proposed: Model A, arising from a deformation of the universal enveloping algebra of $\mathfrak{sl}(2,\mathbb{R})$, and Model B, a perturbatively local Poisson sigma-model with an infinite-dimensional target space. While both capture higher-spin dynamics on $(A)dS_2$, they differ in their algebraic structures and locality properties, thus offering complementary perspectives on higher-spin holography. |
| title | Higher-Spin Poisson Sigma Models and Holographic Duality for SYK Models |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.19964 |